Overlapping Triangle Proofs

When proving these triangles similar, what would you write in for the missing reason?

• Math

• Corresponding sides are proportional

• Corresponding sides are congruent

• SSS similarity postulate

What additional information is required to prove the two triangles are congruent by SAS?

• A)
• B)
• C)
• D)

What additional information is required to prove the two triangles are congruent by HL?

• A)
• B)
• C)
• D)

What additional information is required to prove the two triangles are congruent by ASA?

• A)

• B)

• C)

• D)

Which postulate or theorem, if any, could you use to prove △DBE ≅ △FCE congruent? If not enough information is given, choose not enough information

• SAS

• AAS

• ASA

• not enough information

What statement should go in Step 3?

• Angle B=Angle B

• AB=BC

• AD=DC

• Angle 1=Angle 3

Name a pair of overlapping congruent triangles and state how.  (Hint: they have to be overlapping)

• ∆AQT ≅ ∆SQT by SAS

• ∆TAR ≅ ∆TSP by AAS

• ∆TAR ≅ ∆TSP by ASA

• ∆AQT ≅ ∆SQT by SSA

What is the statement for Step 7?

• Angle R=Angle T

• ST=RU

• SU=SU

• Angle TUR=Angle RST

What is statement #4?

Which triangle congruence theorem can be used to prove the triangles are congruent?

• AAS

• SSS

• SAS

• SSA